3431662080 has 480 divisors, whose sum is σ = 13938661440. Its totient is φ = 712212480.

The previous prime is 3431662063. The next prime is 3431662097. The reversal of 3431662080 is 802661343.

It is an interprime number because it is at equal distance from previous prime (3431662063) and next prime (3431662097).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139106 + ... + 4139934.

It is an arithmetic number, because the mean of its divisors is an integer number (29038878).

Almost surely, 2^3431662080 is an apocalyptic number.

3431662080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969330720).

3431662080 is an abundant number, since it is smaller than the sum of its proper divisors (10506999360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3431662080 is a wasteful number, since it uses less digits than its factorization.

3431662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3431662080 is about 58580.3898928643. The cubic root of 3431662080 is about 1508.3478384355.

The spelling of 3431662080 in words is "three billion, four hundred thirty-one million, six hundred sixty-two thousand, eighty".